A comparison of various noncommuting conditions in metric fixed point theory and their applications

RP Agarwal, RK Bisht, N Shahzad - Fixed Point Theory and Applications, 2014 - Springer
This paper presents a survey that aims to provide a brief historical account of the
development through the definitions and comparison of weaker forms of commuting …

Best simultaneous approximations, asymptotically nonexpansive map**s and variational inequalities in Banach spaces

AR Khan, F Akbar - Journal of Mathematical Analysis and Applications, 2009 - Elsevier
The existence of common fixed points is established for three map**s where T is either
generalized (f, g)-nonexpansive or asymptotically (f, g)-nonexpansive on a nonempty subset …

Common fixed points from best simultaneous approximations

AR Khan, F Akbar - Taiwanese Journal of Mathematics, 2009 - projecteuclid.org
We obtain some results on common fixed points from the set of best simultaneous
approximations for a map $ T $ which is asymptotically $(f, g) $-nonexpansive where $(T, f) …

Common fixed points of nonexpansive map**s with applications to best and best simultaneous approximation

S Chandok, TD Narang - Journal of Applied Analysis, 2012 - degruyter.com
We prove some new results on the existence of common fixed points for nonexpansive and
asymptotically nonexpansive map**s in the framework of convex metric spaces. We also …

[PDF][PDF] Asymptotically pseudocontractions, Banach operator pairs and best simultaneous approximations

N Hussain - Fixed Point Theory and Applications, 2011 - Springer
The existence of common fixed points is established for the map**s where is
asymptotically-pseudo-contraction on a nonempty subset of a Banach space. As …

[PDF][PDF] Some fixed point theorems with applications to best simultaneous approximations.

TD Narang, S Chandok - The Journal of Nonlinear Sciences and its …, 2010 - eudml.org
87< noindent 88< quad TD NARANG AND SUMIT CHANDOK< centerline1A< quad convex
metric< quad space< quad$( X, d) $< quad is< quad said to< qua< begin 1 align∗ lx, y, p< in …

[PDF][PDF] Application of fixed point theorems to best simultaneous approximation in ordered semi-convex structure

N Hussain, HK Pathak, S Tiwari - J. Nonlinear Sci. Appl, 2012 - researchgate.net
In this paper, we establish some common fixed point results for uniformly Cq-commuting
asymptotically S-nonexpansive maps in a Banach space with semi-convex structure. We …

Approximation of nearest common fixed points of asymptotically I-nonexpansive map**s in Banach spaces

YJ Cho, N Hussain, HK Pathak - Communications of the Korean …, 2011 - koreascience.kr
In this paper, we introduce a new class of uniformly point-wise R-subweakly commuting self-
map**s and prove several common fixed point theorems and best approximation results …

[PDF][PDF] Application of fixed point theorem to best simultaneous approximation in convex metric spaces

HK Nashine - Kragujevac Journal of Mathematics, 2010 - eudml.org
APPLICATION OF FIXED POINT THEOREM TO BEST SIMULTANEOUS APPROXIMATION
IN CONVEX METRIC SPACES Hemant Kumar Nashine Page 1 \hspace ∗{\ fill }1 7 \noindent …

[PDF][PDF] Common fixed point results and its applications to best approximation in ordered semi-convex structure.

HK Pathak, MS Khan - Bulletin of Mathematical Analysis and Applications …, 2009 - eudml.org
In this paper, we prove some results concerning the existence of invariant best
approximation in Banach spaces. Our main result improves the corresponding results of …